Search a number
-
+
116289810 = 23357134733
BaseRepresentation
bin1101110111001…
…11000100010010
322002211010122000
412323213010102
5214232233220
615312254430
72611306230
oct673470422
9262733560
10116289810
115a70828a
1232b41416
131b128250
1411631950
15a321390
hex6ee7112

116289810 has 128 divisors (see below), whose sum is σ = 381749760. Its totient is φ = 24530688.

The previous prime is 116289787. The next prime is 116289821. The reversal of 116289810 is 18982611.

116289810 is a `hidden beast` number, since 11 + 628 + 9 + 8 + 10 = 666.

It is a super-2 number, since 2×1162898102 = 27046639819672200, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22204 + ... + 26936.

It is an arithmetic number, because the mean of its divisors is an integer number (2982420).

Almost surely, 2116289810 is an apocalyptic number.

116289810 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 116289810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190874880).

116289810 is an abundant number, since it is smaller than the sum of its proper divisors (265459950).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

116289810 is a wasteful number, since it uses less digits than its factorization.

116289810 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4769 (or 4763 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 36.

The square root of 116289810 is about 10783.7753129412. The cubic root of 116289810 is about 488.1057086463.

The spelling of 116289810 in words is "one hundred sixteen million, two hundred eighty-nine thousand, eight hundred ten".

Divisors: 1 2 3 5 6 7 9 10 13 14 15 18 21 26 27 30 35 39 42 45 54 63 65 70 78 90 91 105 117 126 130 135 182 189 195 210 234 270 273 315 351 378 390 455 546 585 630 702 819 910 945 1170 1365 1638 1755 1890 2457 2730 3510 4095 4733 4914 8190 9466 12285 14199 23665 24570 28398 33131 42597 47330 61529 66262 70995 85194 99393 123058 127791 141990 165655 184587 198786 212985 255582 298179 307645 331310 369174 425970 430703 496965 553761 596358 615290 638955 861406 894537 922935 993930 1107522 1277910 1292109 1490895 1661283 1789074 1845870 2153515 2584218 2768805 2981790 3322566 3876327 4307030 4472685 5537610 6460545 7752654 8306415 8945370 11628981 12921090 16612830 19381635 23257962 38763270 58144905 116289810